 | William Thomson - 1863 - 404 σελίδες
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
 | 1880 - 1038 σελίδες
...and unmathematically simple. Euclid, who I am sure must have studied photography deeply, proved that the square described on the hypothenuse of a right-angled triangle is equal to the sum of those described on the other two sides, and on this simple but valuable fact is based the whole of... | |
 | James Stewart Eaton - 1864 - 322 σελίδες
...the other two sides are the base and perpendicular. B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form... | |
 | Eli Todd Tappan - 1864 - 288 σελίδες
...Theorem. — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side.... | |
 | George Augustus Walton - 1864 - 364 σελίδες
...square upon the line AC is equal to the two squares upon AB and BC ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, RULE I. To find the hypothenuse, the base and perpendicular... | |
 | Edward Brooks - 1901 - 278 σελίδες
...PROPOSITION XI. — THEOREM. The square described on the hypotenuse of a right trinngle is equivalent to the sum of the squares described on the other two sides. Given. — Let ABC be a triangle, right-angled at B. To Prove. — Then we are to prove that Construct... | |
 | Alan Sanders - 1901 - 260 σελίδες
...XI. THEOREM 199 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove BC? = U? + Jc" Proof. Describe squares on the three sides... | |
 | United States. War Department - 1901 - 894 σελίδες
...but one. Prove that the square described on the hypothenuse of a right-angled triangle Is equivalent to the sum of the squares described on the other two sides. Given the side of an equilateral triangle equal to 10 feet; find its area. Define " limit of a variable."... | |
 | M. Fennell - 1902 - 292 σελίδες
...1. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. i (a) Right angle. (It) Triangle. 2. Definitions to / ; ' D- ,. , , , • , J \ (c) Right-angled triangle,... | |
 | John Phin - 1902 - 464 σελίδες
...proposition. It forms the famous fortyseveuth proposition of the first book of Euclid, that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares erected on the sides. But the doctrine by which he is most generally known is that of the... | |
| |
The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
